How many kilograms of each kind of chocolate must they use?

Question

A candy distributor needs to mix a 20% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 38% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answer 1

x = amount of 20%

100 - x = amount of 50%

 

0.20x + 0.50(100 - x) = 0.38(100)

0.20x + 50 - 0.50x = 38

-0.30x = -12

x = 40

 

Forty kilos of twenty percent and sixty kilos of fifty percent should be mixed.